The determination of the elastic and electric fields in a piezoelectric inhomogeneity
- 1 August 1992
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 72 (3) , 1086-1095
- https://doi.org/10.1063/1.351784
Abstract
The transformed inclusion problem in a piezoelectricsolid of general anisotropy is studied. An anisotropicpiezoelectric medium contains a subregion Ω of a different piezoelectricsolid which undergoes constant eigenstresses and spontaneous electric polarizations. An analytical solution is constructed for ellipsoidal shapes Ω in an unbounded surrounding matrix. A related problem is that in which no eigenstresses and polarizations are prescribed anywhere, but instead the inhomogeneity‐matrix assembly is subjected to an external electromechanical loading. The electric and elastic fields in this case are shown to follow from the solution of the transformed inclusion problem.This publication has 8 references indexed in Scilit:
- Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric materialInternational Journal of Solids and Structures, 1992
- On uniform fields in heterogeneous mediaProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1990
- Thermal Expansion of Elastic-Plastic Composite MaterialsJournal of Applied Mechanics, 1986
- General theorems about homogeneous ellipsoidal inclusionsAmerican Journal of Physics, 1978
- Elastic-Wave Formulation for Electroelastic Waves in Unbounded Piezoelectric CrystalsPhysical Review B, 1973
- A self-consistent mechanics of composite materialsJournal of the Mechanics and Physics of Solids, 1965
- The determination of the elastic field of an ellipsoidal inclusion, and related problemsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1957
- The force on an elastic singularityPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1951